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| Some Conditions for K_0(B(X))=0 | |
| 作者姓名： | 钟怀杰 苏维纲 张云南 |
| 作者单位： | School of Mathematics and Computer Science Fujian Normal University Fuzhou，350007，School of Mathematics and Computer Science Fujian Normal University Fuzhou，350007，School of Mathematics and Computer Science Fujian Normal University Fuzhou，350007 |
| 基金项目： | The NSFC (10471025) the NSF of Fujian Province of China (F0210014 and Z0511019). |
| 摘 要： | Let A be an unital Banach algebra with the unital element I. We denote the set of (n×n)-matrices over A by Mn(A). The set of idempotent elements of A is denoted by P1(A):={P∈A: P2=P}, and accordingly the set of idempotent elements of Mn(A) is denoted by Pn(A):=P1(Mn(A)). We define P∞(A) :=∪n∈N Pn(A). In the set of P∞(A), for P,Q ∈ Pn(A), we say that P is (algebraic) equivalent to Q, if there exist A,B∈ Mn(A) such that |
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